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Roman Dmytryshyn

Observed names: Dmytryshyn, Roman, R. Dmytryshyn, R. I. Dmytryshyn, R.I. Dmytryshyn, Roman DMYTRYSHYN
ORCID: 0000-0003-2845-0137
Observed ORCID: 0000-0003-2845-0137
OpenAlex ID: A5060979027
Peculiarities of Ukrainians’ Approval of Decentralization Reform
2021 · Marta Dmytryshyn, Roman Dmytryshyn, et al. · Administrative Sciences · 38
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On the Analytic Continuation of Lauricella–Saran Hypergeometric Function FK(a1,a2,b1,b2;a1,b2,c3;z)
2023 · Tamara Antonova, Roman Dmytryshyn, et al. · Mathematics · 31
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Branched Continued Fraction Expansions of Horn’s Hypergeometric Function H3 Ratios
2021 · Tamara Antonova, Roman Dmytryshyn, et al. · Mathematics · 28
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Multidimensional regular C-fraction with independent variables corresponding to formal multiple power series
2019 · R. I. Dmytryshyn · Proceedings of the Royal Society of Edinburgh Section A Mathematics · 27
Generalized Hypergeometric Function 3F2 Ratios and Branched Continued Fraction Expansions
2021 · Tamara Antonova, Roman Dmytryshyn, et al. · Axioms · 25
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Approximation of functions of several variables by multidimensional $S$-fractions with independent variables
2021 · R.I. Dmytryshyn, S.V. Sharyn · Carpathian Mathematical Publications · 24
The two-dimensional g -fraction with independent variables for double power series
2012 · R.I. Dmytryshyn · Journal of Approximation Theory · 23
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On Some Branched Continued Fraction Expansions for Horn’s Hypergeometric Function H4(a,b;c,d;z1,z2) Ratios
2023 · Tamara Antonova, Roman Dmytryshyn, et al. · Axioms · 22
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The multidimensional generalization of g-fractions and their application
2004 · R.I. Dmytryshyn · Journal of Computational and Applied Mathematics · 22
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Convergence of some branched continued fractions with independent variables
2017 · R. Dmytryshyn · Matematychni Studii · 21
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Two-Dimensional Generalization of the Rutishauser qd -Algorithm
2015 · R. I. Dmytryshyn · Journal of Mathematical Sciences · 21
On the analytic extension of the Horn's hypergeometric function $H_4$
2024 · R. Dmytryshyn, I.-A. Lutsiv, et al. · Carpathian Mathematical Publications · 20
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Branched continued fraction representations of ratios of Horn's confluent function $\mathrm{H}_6$
2023 · Tamara Antonova, Roman Dmytryshyn, et al. · Constructive Mathematical Analysis · 20
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Truncation error bounds for branched continued fraction whose partial denominators are equal to unity
2020 · R. I. Dmytryshyn, T. M. Antonova · Matematychni Studii · 20
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On some of convergence domains of multidimensional S-fractions with independent variables
2019 · R.I. Dmytryshyn · Carpathian Mathematical Publications · 20
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Numerical stability of the branched continued fraction expansion of Horn's hypergeometric function $H_4$
2024 · R. Dmytryshyn, C. Cesarano, et al. · Matematychni Studii · 19
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On the Analytic Extension of Lauricella–Saran’s Hypergeometric Function FK to Symmetric Domains
2024 · Roman Dmytryshyn, Vitaliy Goran · Symmetry · 19
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Multidimensional Associated Fractions with Independent Variables and Multiple Power Series
2019 · D. I. Bodnar, R. I. Dmytryshyn · Ukrainian Mathematical Journal · 19
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On the expansion of some functions in a two-dimensional g-fraction with independent variables
2012 · R. I. Dmytryshyn · Journal of Mathematical Sciences · 19
Convergence of Multidimensional A- and J-Fractions with Independent Variables
2021 · R. I. Dmytryshyn · Computational Methods and Function Theory · 18
Associated Branched Continued Fractions with Two Independent Variables
2015 · R. I. Dmytryshyn · Ukrainian Mathematical Journal · 17
On the convergence of multidimensional S-fractions with independent variables
2020 · O.S. Bodnar, R.I. Dmytryshyn, et al. · Carpathian Mathematical Publications · 15
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Truncation Error Bounds for the Branched Continued Fraction $$ {\sum}_{i_{1=1}}^N\frac{a_{i(1)}}{1}+{\sum}_{i_{2=1}}^{i_1}\frac{a_{i(2)}}{1}+{\sum}_{i_{3=1}}^{i_2}\frac{a_{i(3)}}{1}+\cdots $$
2020 · T. M. Antonova, R. I. Dmytryshyn · Ukrainian Mathematical Journal · 14
Approximation for the Ratios of the Confluent Hypergeometric Function ΦD(N) by the Branched Continued Fractions
2022 · Tamara Antonova, Roman Dmytryshyn, et al. · Axioms · 13
On the analytic extension of the Horn's confluent function $\mathrm{H}_6$ on domain in the space $\mathbb{C}^2$
2024 · Roman Dmytryshyn, Tamara Antonova, et al. · Constructive Mathematical Analysis · 12
Works count: 67
Citation count: 684
H-index: 19
I10-index: 30
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